Question

For the following four questions, a group of residents were asked about their support for a homeless shelter being opened in their neighborhood. They were also asked about how long they had lived in the neighborhood, with short term residency defined as less than three years and long-term as three years or more. Resident Neighborhood Tenure Supports Shelter 1 Short term Yes 2 Short term No 3 Long term Yes 4 Long term No 5 Short term Yes 6 Short term Yes 7 Long term No 8 Short term Yes 9 Short term Yes 10 Short term No Flag this Question Question 1 4 pts What is the probability of selecting a short term resident at random from this group? Flag this Question Question 2 4 pts What is the probability of selecting a resident who does not support the homeless shelter at random from this group? Flag this Question Question 3 4 pts What is the probability of selecting a long term resident who supports the homeless shelter at random from this group? Flag this Question Question 4 4 pts What is the probability of selecting a short term resident who does not support the homeless shelter at random from this group? Flag this Question For the following two questions, research has shown that nearly 25% of homeless adults are veterans. Flag this Question Question 5 4 pts What is the probability of selecting a particular homeless person who is not a veteran? Flag this Question Question 6 4 pts What is the probability of selecting two random homeless people who are both veterans? Flag this Question For the following seven questions, you are drawing one card at random from a standard deck of 52 cards. Flag this Question Question 7 4 pts What is the probability of drawing the eight of diamonds? Flag this Question Question 8 4 pts What is the probability of drawing a diamond card? Flag this Question Question 9 4 pts What is the probability of drawing an eight? Flag this Question Question 10 4 pts What is the probability of drawing a red car

Answer 1

The data can be represented as follows:

The corresponding probabilities are obtained by dividing each cell by total (=10)

From the table,

Question 1.

P(a short term resident at random from this group is selected) = No. of short term residents / Total

= 7 / 10

=0.7

Question 2.

P( a resident who does not support the homeless shelter is selected)

= No. of residents who do not support homeless shelter / Total no. of residents

= 4 / 10

= 0.4

Question 3.

P(a long term resident who supports the homeless shelter is selected )

P(a long term resident who supports the homeless shelter is selected ) = 0.1

Question 4.

P(a short term resident who does not support the homeless shelter is selected)

P(a short term resident who does not support the homeless shelter is selected) =0.2

Question 5: Given that the probability of chosing a homeless veteran is 25%

P(selecting a particular homeless person who is not a veteran) = 1- 0.25 = 0.75

Question 6.

Assuming that the selection of the 2 homeless veterans are independent,

P(selecting two random homeless people who are both veterans) = 0.25*0.25 =0.0625

From a standard deck of 52 cards,

Question 7. In a standard deck of 52 cards, there can only be one eight of diamonds.

P(drawing the eight of diamonds) = 1 / 52

Question 8. No. of diamonds in a standard deck of cards = 13

P(drawing a diamond card) = =

Question 9.

No. of eights in a standard deck of cards = 4

P(drawing an eight ) = =   

Question 10.

No. of red cards in a standard deck = 26

P(drawing a red card) = =